What is the Greatest Common Factor of 92574 and 92592?

Greatest common factor (GCF) of 92574 and 92592 is 18.

GCF(92574,92592) = 18

We will now calculate the prime factors of 92574 and 92592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92574 and 92592.

How to find the GCF of 92574 and 92592?

We will first find the prime factorization of 92574 and 92592. After we will calculate the factors of 92574 and 92592 and find the biggest common factor number .

Step-1: Prime Factorization of 92574

Prime factors of 92574 are 2, 3, 37, 139. Prime factorization of 92574 in exponential form is:

92574 = 2¹ × 3² × 37¹ × 139¹

Step-2: Prime Factorization of 92592

Prime factors of 92592 are 2, 3, 643. Prime factorization of 92592 in exponential form is:

92592 = 2⁴ × 3² × 643¹

Step-3: Factors of 92574

List of positive integer factors of 92574 that divides 92574 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 139, 222, 278, 333, 417, 666, 834, 1251, 2502, 5143, 10286, 15429, 30858, 46287

Step-4: Factors of 92592

List of positive integer factors of 92592 that divides 92574 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 643, 1286, 1929, 2572, 3858, 5144, 5787, 7716, 10288, 11574, 15432, 23148, 30864, 46296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92574 and 92592. The biggest common factor number is the GCF number.
So the greatest common factor 92574 and 92592 is 18.

Also check out the Least Common Multiple of 92574 and 92592